3642931968 has 144 divisors (see below), whose sum is σ = 10536983520. Its totient is φ = 1110638592.

The previous prime is 3642931967. The next prime is 3642931969. The reversal of 3642931968 is 8691392463.

It is an interprime number because it is at equal distance from previous prime (3642931967) and next prime (3642931969).

It is a self number, because there is not a number n which added to its sum of digits gives 3642931968.

It is not an unprimeable number, because it can be changed into a prime (3642931967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126578 + ... + 1129806.

Almost surely, 2^3642931968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268491760).

3642931968 is an abundant number, since it is smaller than the sum of its proper divisors (6894051552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3642931968 is a wasteful number, since it uses less digits than its factorization.

3642931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3360 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 3642931968 is about 60356.7060731448. The cubic root of 3642931968 is about 1538.6872446863.

The spelling of 3642931968 in words is "three billion, six hundred forty-two million, nine hundred thirty-one thousand, nine hundred sixty-eight".